`cospi/12-sinpi/12=1/(sqrt(2))`

prove that : cos(pi/12)-sin(pi/12)=1/(sqrt(2))

Prove that: cospi/10-sinpi/10=sqrt(2)sin(3pi)/(20)

Prove that :cos((pi)/(12))-sin((pi)/(12))=(1)/(sqrt(2))

Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/2dot

Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/2dot Then 6lt=nlt=8 (b) 4 ltnle8 c) 4lenle8 d) 4ltnlt8

Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/2dot Then 6lt=nlt=8 (b) 4 ltnle8 c) 4lenle8 d) 4ltnlt8

The polar form of (i^(25))^3 is a. cos(pi/2)+isin(pi/2) b. cospi+i\ sinpi c. cospi-isinpi d. cos(pi/2)-\ i sin(pi/2)

Let Q=((cospi/4,-sinpi/4),(sinpi/4,cospi/4)) and x=((1/sqrt2),(1/(sqrt(2)))) then Q^3X is equal to

If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a) cospi/4 (b) sinpi/2 (c) sinpi/6 (d) cospi/3